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Finding the Fourth Proportional to 21,035.54, 31,564.38 and 8,564.78

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Solution

The fourth proportional to 21,035.54, 31,564.38 and 8,564.78 is: 12,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.54 : 31,564.38 = 8,564.78 : x
  2. Step 2: Convert to fraction form
    21,035.54/31,564.38 = 8,564.78/x
  3. Step 3: Cross multiply
    21,035.54x = 31,564.38 × 8,564.78
  4. Step 4: Simplify right side
    21,035.54x = 270,341,970.54
  5. Step 5: Solve for x
    x = 270,341,970.54/21,035.54
  6. Step 6: Final answer
    x = 12,851.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.